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Algebra 2 Quiz - Absolute Value Equations

Total questions: 10

Worksheet time: 41mins

Name
Class
Date
1.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance from zero, distance is always measured by positive numbers.

2.
Solve for x
3 l 4w−1 l −5 = 10
a)
x = 1.5 and x =-1
b)
x = -1.5 and x = 1
c)
x =1 and x = -1
d)
No Solution
3.

Solve for x

18 = 2 lx−4l + 8

a)

x = 9 and x =-1

b)

x = 1 and x = -9

c)

x= 4 and x = -2

d)

No Solution

4.

-5 = |8 − p| - 11

a)

p = -2, -14

b)

p = -14, 2

c)

p = -2, 14

d)

p = 2, 14

5.

|3x - 9| = x + 1

a)

c = -5, 2

b)

c = 2, 5

c)

c = 5, -2

d)

c = -2, -5

6.

An absolute value can NOT equal...

a)

a positive number

b)

a negative number

c)

a fraction

d)

an integer

7.
|−4 + 5x| = 16
a)
{16/5,12/5}
b)
{4,-5}
c)
{-12/5, 4}
d)
4
8.
∣ 2x + 9 ∣ = 15
a)
x = 3 
b)
x = 3
x = -6
c)
x = 3
x = -12
d)
x = 6
x = -12
9.
Solve |x – 12| - 3 = 11.
a)
-2, -26
b)
-2, 26
c)
3, 25
d)
4, -7
10.
a)

2,6

b)

-2,-6

c)

-6,2

d)

-2,6